|Publication number||US6936471 B2|
|Application number||US 09/779,149|
|Publication date||Aug 30, 2005|
|Filing date||Feb 8, 2001|
|Priority date||May 26, 2000|
|Also published as||CA2344755A1, CA2344755C, EP1158290A2, EP1158290A3, US6664067, US6679130, US20020023507, US20020029621|
|Publication number||09779149, 779149, US 6936471 B2, US 6936471B2, US-B2-6936471, US6936471 B2, US6936471B2|
|Inventors||Damian Hajduk, Eric Carlson, J. Christopher Freitag, Oleg Kolosov, James R. Engstrom, Adam Safir, Ravi Srinivasan, Leonid Matsiev|
|Original Assignee||Symyx Technologies, Inc.|
|Export Citation||BiBTeX, EndNote, RefMan|
|Patent Citations (105), Non-Patent Citations (40), Referenced by (10), Classifications (38), Legal Events (14)|
|External Links: USPTO, USPTO Assignment, Espacenet|
This application is a divisional of copending U.S. patent application Ser. No. 09/580,024, filed May 26, 2000, which is herein incorporated by reference for all purposes.
1. Technical Field
The present invention relates to an apparatus and method for determining physical characteristics of an array of materials as functions of mechanical perturbations and environmental conditions.
Combinatorial chemistry generally refers to methods and materials for creating collections of diverse materials or compounds—commonly known as libraries—and to techniques and instruments for evaluating or screening libraries for desirable properties. Combinatorial chemistry has revolutionized the process of drug discovery, and has enabled researchers to rapidly discover and optimize many other useful materials.
Scientists realized that efficient screening techniques were essential for any successful combinatorial research effort. However, since much of the original work in combinatorial chemistry focused on biologically active compounds, early researchers typically employed conventional biological assays as screening methods. Many of these assays were ideally suited for screening combinatorial libraries because they required little or no sample preparation and they could generate useful results using small sample sizes (a mg or less) generally produced in a combinatorial synthesis.
But as researchers began applying combinatorial methods to develop novel non-biological materials, they increasingly found that conventional instruments and methods for characterizing materials were often unsatisfactory for screening. For example, instruments for characterizing physical properties of materials—viscometers, rheometers, dynamic analyzers, and other mechanical property test instruments—are generally unsuitable for screening purposes because they were designed to process one sample at a time. Although the throughput of these serial instruments would likely benefit from automation, many mechanical property test instruments require time-consuming sample preparation, demand more sample than is ordinarily prepared in a high speed research program, and exhibit sluggish environmental control, making such instruments impractical for use as screening tools. Furthermore, the long time scales associated with measuring mechanical properties of polymers, ceramics and other engineered materials often make serial approaches unsuitable as screening methods.
Moreover, competitive pressures are forcing scientists to continually expand their set of screening tools. Many material scientists have embraced combinatorial methodologies because the techniques allow them to develop novel materials in a fraction of the time as conventional discovery methods. This has allowed researchers to tackle a wider range of material design challenges and to consider a broader set of characteristics that ultimately translates into improved material performance. Of course, new design challenges and additional screening criteria mean that laboratories must acquire more screening tools, which if purchased as separate instruments, might offset cost savings associated with combinatorial methods.
Thus, there exists a need for versatile instruments and techniques for screening combinatorial libraries, and especially instruments and methods for measuring physical properties of materials. The present invention, at least in part, satisfies that need.
The present invention provides an apparatus and method for screening combinatorial libraries that addresses many of the problems encountered when using conventional instruments. For example, the disclosed apparatus can measure physical properties of library members in parallel and can perform tests on small amounts of material, which are easily prepared by automated liquid and/or solid handling techniques. Compared to conventional instruments, the disclosed apparatus affords faster sample loading and unloading, for example, through the use of disposable sample arrays and test probes. The present invention is operationally flexible, and permits a single instrument to perform many different material tests through proper selection of sample array format and test probe design. Rapid serial measurements may also be performed.
Thus, one aspect of the present invention provides and apparatus for measuring bulk physical properties of an array of material samples. The apparatus includes a moveable sample holder for containing the array of material samples, and an array of probes for mechanically perturbing the array of material samples. The apparatus also includes an actuator for translating the moveable sample holder and the array of material samples. The actuator moves the array of material samples in a direction normal to a plane defined by the ends of the probes so that the material samples contact the probes. In addition, the apparatus includes a sensor for monitoring the response of the materials to mechanical perturbation by the probes. Typical sensors include force sensors.
A second aspect of the present invention provides a system for screening a combinatorial library of materials by measuring bulk physical properties of the materials. The system includes an array of material samples and probes for mechanically perturbing the samples. Depending on the particular physical property being tested, the array includes materials deposited at predefined regions on flexible or rigid substrates, or materials contained in a group of vessels. The system also includes an actuator for translating the array of material samples in a direction normal to a plane defined by the ends of the probes so the material samples contact the probes. The system also includes a sensor for monitoring the response of the array of material samples to mechanical perturbations by the probes.
A third aspect of the invention provides a method of screening a combinatorial library of materials. The method includes providing an array of material comprising at least five individual samples, and mechanically perturbing the array of materials by contacting at least two of the material samples with probes simultaneously. In addition, the method includes monitoring responses of the samples during the mechanical perturbations. Depending on type of mechanical perturbation, the method can screen libraries of materials based on measurements of many different bulk physical properties. For example, the inventive method can measure physical properties related to Young's modulus—including flexure, uniaxial extension, biaxial compression, and shear. In addition, the method can measure physical properties related to hardness (indentation), failure (stress and strain at failure, toughness), adhesion (tack, loop tack), and flow (viscosity, melt flow indexing, and rheology), among others.
Overview of Apparatus and Method
The present invention comprises a system and method for screening combinatorial libraries of materials by measuring the response of individual library members to mechanical perturbations. Throughout and in accord with this specification, the number of member of a combinatorial library of materials may vary depending on the embodiment being practiced. Generally, an array of materials comprises a plurality of materials for which a property measurement is desired. In some embodiments, an array of materials will comprise 8 or more, 16 or more, 24 or more or 48 or more materials, each of which is different from the others. Arrays of materials and methods of making such arrays are described in detail, for example, U.S. Pat. Nos. 6,004,617 and 6,030,917 and U.S. patent application Ser. No. 09/227,558, filed Jan. 8, 1999, all of which are incorporated herein by reference for all purposes. The materials in the arrays may be any type of material for which a property measurement is desirable. Examples of the types of materials that may be in an array include non-biological polymers (such as polyethylene, polypropylene, polystyrene, polymethacrylic acid, polyacrylamide, polymethylmethacrylate and the like, including copolymers or higher order polymers of the same monomers), metals (including all types of alloys), composites, etc. The materials in the array may be in various forms, including amorphous, crystalline and mixtures thereof. The only limitation on the type of material is that the material must be capable of being deposited in a manner compatible with the property testing described herein. Those of skill in the art will appreciate from this specification that members of the array may be the same or different materials. Also, standards (such as calibration standards) or blanks may be employed in the array for known scientific purposes. Relative comparison of the properties of members of the array is a particularly useful embodiment of this invention.
Throughout this specification, the specific embodiment discussed in detail is a ninety-six parallel embodiment. This particularly preferred embodiment has many detailed features, which may not be necessary in other embodiments of this invention. For example, force sensors are placed remotely to the samples and are set at certain spacing. Those of skill in the art can easily modify such design parameters for other embodiments, such as by placing the sensors at other spacing, not placing the sensors substantially in a plane and not placing the samples remote to the sensors (e.g., using an integrated probe and sensor). These are design choices for the present invention and describe other embodiments of the invention.
Those of skill in the art will also appreciate that lower or higher throughput may serve the needs of a particular application of this invention. Thus, 8 or more, 16 or more, 24 or more or 48 or more test probes in parallel are within the scope of this invention. These probes may all be in the same test fixture or in multiple test fixtures. Also, different types of probes described herein may be in a single test fixture. In terms of throughput, a single material (e.g., a sample) may have up to ten different properties measured simultaneously. In addition, up to 96 materials may have one or more properties measured simultaneously in 10 minutes or less, preferably 5 minutes or less and even more preferably in 1 minute or less. In some embodiments, throughput of 30 seconds or less or even 10 seconds or less may be accomplished for an array of the sizes discussed herein, e.g., up to 96 materials in the array.
Generally, the samples are associated with specific locations or regions of the sample holder such that the location of individual samples may be known. Thus, samples may be contained by the sample holder, placed on the specific locations of the sample holder or fixed to the sample holder (e.g., if the sample holder is replaceable) or otherwise specifically located. The method of knowing the location of an individual sample is not critical to this invention and is described herein based on the samples being contained in the sample holder for illustration purposes only. Also generally, preferred embodiments of attachment means are described for various parts (such as clamping, threading, magnetic coupling, springs, etc.), but those of skill in the art will appreciate that this is simply a matter of design choice and the invention herein is not limited to the specific embodiments described in detail.
As used in this disclosure, the term “mechanical perturbations” generally refers to controlled straining and/or shearing of a library member. The actual displacement of the material may be small (for example, about thirty μm or less). The system generally includes a sample holder for containing or securing the library members, one or more probes for mechanically perturbing individual library members, and one or more sensors for measuring the response of each of the library members to the mechanical perturbations. Library members undergoing screening make up a sample array, and individual library members constitute elements of the sample array that are confined to specific locations on the sample holder. Although the system can screen libraries of varying size, a most preferred embodiment is a library comprising an eight-by-twelve rectangular array of material samples in which, similar to a standard ninety-six well microtiter plate, the centers of adjacent array elements are spaced nine-mm apart.
During screening, the probes mechanically interact with the elements of the sample array. In some embodiments the probes have about the same lateral spacing as the elements of the sample array so that there is a one-to-one correspondence between individual probes and sample array elements. In addition, since the sample array and the ends of the probes also define two generally planar surfaces, the system can perturb all of the sample array elements simultaneously by displacing the sample array (sample holder) and/or the probes in a direction normal to the two surfaces. If adapted to perturb all of the elements simultaneously, the system may include a rectilinear translation stage that is attached to the sample holder or the probes. In other embodiments, the system may perturb individual or groups of sample array elements. In these embodiments, the system may include a translation mechanism capable of three-dimensional motion, which is attached to a single probe, to a group of probes, or to the sample holder.
Since the bulk physical properties of materials can depend strongly on environmental conditions—temperature, pressure, ambient gas composition (including humidity), electric and magnetic field strength, and so on—the screening system may include a control system for regulating environmental conditions. Useful control systems include an environmental chamber that encloses the sample holder, the sample array, and the probes. As discussed below, the system may locate the sensors outside of the environmental chamber if their performance is strongly influenced by any of the environmental control variables, such as temperature.
The system uses software running on a general-purpose computer to control the mechanical perturbations and to acquire and record the response of the sample array elements to the mechanical perturbations. Computer software also regulates conditions in the environmental chamber, if present. As discussed below, one or more data acquisition boards, which are under the direction of the software, link the computer to the peripheral control elements, sensors, and so on.
The versatile system can screen libraries of materials based on many different bulk physical properties. For example, the system can measure physical properties related to Young's modulus—including flexure, uniaxial extension, biaxial compression, and shear. In addition, the system can measure physical properties related to hardness (indentation), failure (stress and strain at failure, toughness), adhesion (tack, loop tack), and flow (viscosity, melt flow indexing, and rheology), among others. As described below, the system can choose from among many screening criteria or physical properties by selecting the proper sample array format and probe design.
Parallel Dynamic Mechanical Analyzer (PDMA)
The PDMA 100 includes first 110 and second 112 translation actuators for displacing the sample array in a direction normal 114 to surfaces containing the sample array and the ends of the probes 104. The first translation actuator 110, which is attached to the sample holder 102 via a housing 116 that surrounds the second translation actuator 112, provides relatively coarse displacement of the sample holder 102. A useful first translation actuator 110 includes a motorized translation stage available from POLYTEC PI under the trade name M-126 Translation Stage, which has a translation range of twenty-five mm and a resolution of 0.1 μm. The second translation actuator 112, which is attached directly to the sample holder 102, provides relatively fine displacement of the sample holder 102. A useful second translation actuator 112 includes a preloaded piezoelectric stack available from Polytec PI under the trade name P-753 LISA Linear PZT Stage Actuator, which has a translation range of 30 μm and can provide an 100-N pushing force and a 20-N pulling force. Other embodiments for these parts will be within the scope of those of skill in the art. The PDMA 100 typically controls the first 110 and second 112 translation actuators using a DC motor controller and an amplifier/position servo controller, respectively, which are linked to a general-purpose computer (not shown). In an alternative embodiment, the first 110 translation actuator is mounted on an x-y translation stage (not shown), which allows movement of the sample holder 102 in a direction about parallel to the surfaces containing the sample array and the ends of the probes 104. This latter embodiment is useful when the sample holder 102 must be moved laterally to align different groups of sample array elements with the probes 104 during screening—i.e., when the PDMA employs fewer probes 104 than sample array elements and the probes 104 are stationary.
Each of the probes 104 includes a test fixture 118 that contacts one of the sensors 106 through a solid or composite shaft 120 shown in phantom in FIG. 1. Each shaft 120 passes through an aperture 122 in an isolation block module 124 that separates the probe test fixture 118 from the sensor 106. For clarity,
As shown in
The geometry of the diaphragms 166 makes each of the flexure strips 150 compliant for displacements normal 114 to the surface supporting or containing the sample array, but mechanically stiff for displacements parallel to the sample array. The use of two flexure strips 150 also makes each combination of shaft 120 and diaphragms 166 mechanically stiff for angular displacements away from the direction normal 114 to the surface of the sample array. Moreover, through proper selection of materials and dimensions, the flexure strips 150 exhibit effective spring constants—for displacements normal 114 to the sample array—substantially less than effective constants of the sensors 106. In this way, the flexure strips 150 ordinarily exert minimal influence on the measured responses to mechanical perturbations, unless they are used to “pre-load” the sensors 106 as discussed below. Useful materials for the flexure strips 150 include metallic and polymeric films. For example, one particularly useful flexure strip material is polyimide film, which is available from DuPont under the trade name KAPTON in thickness ranging from about from about thirteen μm to about one hundred twenty five μm. Other useful flexure materials include stainless steel foil, diaphrams (in general) and corrugated bronze, for example, the flexure may be mechanically machined stainless steel. Since the effective spring constants of the diaphragms 166 and typical sensors 106 are temperature-dependent, the use of thermally insulating sheathing 160, 162, 164 on the shafts 120 permits the PDMA 100 to vary the temperature of the sample arrays without significantly affecting the measured response.
As noted previously, an important feature of the PDMA 100 is its ability to screen materials based on many different physical properties. One way the PDMA 100 achieves this flexibility is by using interchangeable (and, in some embodiments, disposable) test fixtures 118 with an appropriate sample array format and sample holder 102. For example, one screening method may employ a probe 104 equipped with a ball-tip indenter test fixture 118 to rank the hardness of material samples arrayed on a rigid plate. Another screening method may employ a probe 104 fitted with a flat-tip stylus test fixture 118 to deduce Young's modulus from flexure measurements of material samples arrayed on a flexible substrate. In either case, the PDMA 100 should provide a mechanism for removing and securely attaching the test fixtures 118. Suitable attachment mechanisms include mechanical and electromagnetic couplings, as well as devices employing permanent magnets.
As can be seen in
The relatively large footprint of each sensor 106 shown in
FIG. 5 and
As shown in
The first sensor board 232 shown in
The PDMA 100 can use a wide variety of sensors 106, including miniature force sensors. Most of the sensors 106 incorporate signal conditioning electronics. Suitable force sensors include piezoresistive micromachined silicon strain gauges that form a leg of a conventional Wheatstone bridge circuit. A useful low-compliant force sensor is available from Honeywell under the trade name FSL05N2C. The Honeywell force sensor has a 500-g range (4.9 N full scale), which is suitable for most of the screening methods described in subsequent sections. As noted earlier, many force sensors can tolerate only modest variation in temperature without compromising accuracy and precision. The use of a composite shaft 120 having an insulating sheathing 160, 162, 164 (
In an alternative embodiment, force sensors are incorporated into the flexure strips 150 by placing strain gages on the diaphragms 166 (FIG. 2). Strain resulting from the application of a known force—typically a deadweight load applied to the rigid shaft 120—is recorded and used to develop a calibration curve for the force sensor. The principal disadvantage of this approach is the extensive signal conditioning requirements associated with strain gage measurements.
Referring again to FIG. 1 and
Alternatively, the environmental chamber may comprise a substantially gas-tight enclosure that surrounds the sample holder 102, the probes 104, the isolation block modules 124, and the sensors 106. The enclosure may be further separated into two compartments—one that encloses the sample holder 102 and the material samples 230, and one that encloses the sensors 106 and the isolation block modules 124. The latter embodiment allows blanketing the sample holder 102 and material samples 230 with a first gas that is different than a second gas blanketing the sensors 106. In this way, the PDMA can vary the environment of the material samples 230 independently of the sensors 106, while maintaining the sensors 106 at conditions different than or the same as the laboratory environment.
The environmental chamber may include devices for regulating and/or monitoring the temperature of the sample array 230 elements. Useful devices include one or more heating or cooling elements placed within a gas stream that feeds the environmental chamber containing the sample array 230. Other useful devices include an array of radiant heaters positioned adjacent to the sample array 230. Alternatively, the PDMA 100 may include resistance heaters or thermoelectric devices that are attached to the sample holder 102, which heat or cool individual or groups of sample array 230 elements. The PDMA 100 may also include devices such as thermocouples, thermistors, or resistive thermal devices (RTD) for monitoring the temperature of individual sample array 230 elements. In some embodiments, the PDMA 100 includes a temperature controller, such as a data acquisition board, for subjecting the sample array 230 to a desired temperature-time profile. The temperature controller automatically adjusts the power supplied to the heating and cooling devices in response to signals received from the temperature monitoring devices. Typically, software running on an external computer communicates and coordinates functions of the temperature controller and the temperature monitoring devices.
PDMA Control and Data Acquisition
The second translation actuator 112 shown in
As shown in
Software running on the computer 304 coordinates the activities of the boards 302, 310 and allows the user to specify screening parameters including positions of the first 110 and second 112 translation actuators at any given time, the number of sample array 230 elements, and so on. Operation of the data acquisition and control system 300 with respect to specific physical property tests is discussed below.
Screening Methods, Sample Arrays and Holders, Probe Test Fixtures
The PDMA 100 of
As described in the next sections, the screening criteria or measurement techniques depend on selection and use of appropriate sample array 230 format, sample holder 102 configuration, and probe 104 test fixture 118 design. We use different reference numbers to distinguish between separate embodiments of the sample array 230, sample holder 102, probes 104 and test fixtures 118. For example, probe 104 test fixtures 118 shown generally in
Determination of Young's Modulus from Flexure Measurements—“Push-Pin Test”
In some cases, clamping may be insufficient to secure the flexible substrate 324 between the perforated plates 326, 328. Thus, in an alternative embodiment, the flexible substrate 324 is bonded to one of the perforated plates 326, 328 using a pressure sensitive adhesive. The adhesive should be less compliant than the flexible substrate 324, and during its application, care should be taken to ensure a uniform bond line adjacent to the circular perforations 334. Washers or similar shim stock (not shown) can be used to define a standoff between the two perforated plates 326, 328.
Various methods can be used to make the sample arrays 320. For example, a sample array 320 comprised of polymers can be prepared by depositing known amounts of solid samples 332 at predefined regions on the flexible substrate 324. Following deposition, the samples 332 and substrate 324 are compressed under melt-flow conditions to create polymer films of requisite thickness. Alternatively, the polymer samples 332 can be dissolved in one or more solvents and deposited at predefined regions on the flexible substrate 324 using conventional liquid handling techniques such as automated pipetting. To prevent liquid samples 332 from spreading beyond their respective predefined regions, the flexible substrate 324 is pretreated—e.g., by selective etching or by silane treatment—to modify the surface energy of the substrate 324 in or out of the predefined regions. See, for example, co-pending U.S. Patent Application entitled “Formation of Combinatorial Arrays of Materials Using Solution-Based Methodologies,” Ser. No. 09/156,827, filed Sep. 18, 1998, and co-pending U.S. Patent Application, “Polymer Libraries on a Substrate, Method for Forming Polymer Libraries on a Substrate and Characterization Methods With Same,” Ser. No. 09/567,598, filed May 10, 2000, all of which is herein incorporated by reference. Upon deposition, the liquid samples 332 are confined to regions having like surface energies, and form solid films following evaporation of the solvent. After brief annealing under vacuum to remove residual solvent, the thickness at the center of each sample 332 can be measured using a variety of known techniques, including optical reflection profilometry and optical interference profilometry. Finally, metallic or organometallic compounds can be directly deposited on the flexible substrate 324 by chemical vapor deposition, physical vapor deposition, or similar techniques.
In some instances, the size and placement of the material samples 332 on the flexible substrate 324 can affect the physical measurements. For example, as shown in
FIG. 10 and
Like the direct measurements, the oscillatory mode comprises translating the sample holder 330 and material sample array 320 against the test fixtures 322 at a known rate until the sample 332 reaches a given maximum deflection or normal 114 displacement. However, following the initial displacement, the method includes translating the sample holder 330 and sample array 320 along the deflection direction 114 in an oscillatory motion of known amplitude and frequency. As described in detail below, the amplitude and initial displacement are typically chosen to ensure that, throughout the entire motion, the sample 332 or substrate 324 deflections remain in a linear deflection regime defined below.
To measure modulus using the oscillatory method, the sample holder 330 is attached to the second translation actuator 112, and the test fixtures 322 are attached to the probes 104. The first (coarse) translation actuator 110 positions the sample holder 330 near the probes 104, but at a sufficient distance so that none of the test fixtures 322 contact the flexible substrate 324 or any elements 332 of the sample array 320. Using the second translation actuator 112, the PDMA 100 makes initial stiffness measurements (force per displacement amplitude) of the sample array 320 elements 332. Next, the first actuator 110 translates the sample holder 330 closer to the test fixtures 322 by a predetermined amount—typically, a step size of one half of the oscillatory displacement amplitude used in measuring stiffness—and the PDMA 100 repeats the stiffness measurements. The PDMA 100 continues this process until all of the material samples 332 of the array 320 are in contact with the test fixtures 332.
The stiffness measurements can be understood by reference to FIG. 7 and FIG. 12. Referring first to
Eventually, the probes 106 are in contact with the material samples 332 throughout the oscillation of the second translation actuator, as represented by a fourth region 414 of the stiffness-displacement curve 406. Here, the output signals from the sensors 106 are almost purely sinusoidal, and the stiffness becomes independent of the position of the first translation actuator 110. In this region 414 of the curve 406—the “linear deflection regime”—the force exerted by a given sample 332 is a linear function of the oscillation amplitude of the second translation actuator 112. Also, in this region 414 of the stiffness-displacement curve 406, the substrate 324 modulus and the material sample 332 modulus can be calculated using analytical models that describe the deflection of a circular membrane clamped along its circumference. See discussion of equations I-IX below.
The width of the region 412 of the stiffness-displacement curve 406 in which the stiffness rises rapidly with displacement, is approximately equal to twice the amplitude of the oscillation of the second translation actuator 112. Thus, using a first (coarse) actuator 110 step size of one half the oscillation amplitude ensures at least four data points throughout this region and provides a reasonably accurate estimate of the sample 332 stiffness at the edge of the linear deflection regime (“linear stiffness”). To bring all of the samples 332 into contact with the test fixtures 332, it may be necessary to drive the first actuator 110 to a position in which some samples 332 are in a fifth region 416 of the stiffness-displacement curve 406. This region 416 of the curve 406 is outside of the linear deflection regime 414 and exhibits a rise in the sample stiffness with increasing displacement of the first translation actuator 110.
The PDMA automatically determines linear stiffness for each stiffness-displacement curve 406 of the material samples 332 by starting from the initial first translation actuator 110 position and identifying the first stiffness measurement that exceeds a predetermined threshold value (e.g., twenty five N/m). Once this threshold is crossed, the stiffness measured 2A/C+1 steps later, where A is the oscillation amplitude of the second actuator 112 and C is the first (coarse) translation actuator 110 displacement, is assumed to be equal to the linear stiffness and is recorded.
The moduli of the substrate 324 and the material samples 332, can be obtained from the force-displacement curves 360, 362, 400, 402 using analytical models that describe the deflection of a circular membrane clamped along its circumference. For deflections of up to about one-half of the thickness of the circular membrane—the linear deflection regime—the deflection, y, is given by the expression:
where E is the modulus of the clamped film or membrane, r is the radius of the film, δ is the thickness of the film, F is the force resulting from the deflection, v is Poisson's ratio, which is often assumed to be of order 0.3, and D is the plate constant. See W. C. Young, Roark's Formulas for Stress and Strain (1989). For larger film displacements, the deflection is approximated by:
where k1 and k2 are constants that depend on the ratio of the area of test fixture 322 contact to the area of the clamped film 324. Values of these constants have been tabulated for a wide range of area ratios. Depending on the relative magnitudes of the deflection and film thickness, equations I-III yield the substrate 324 modulus, E1, for values of F and y from the force-displacement curves 360, 362, 402.
Given the modulus of the substrate 324, one may obtain the modulus of the samples 322 from analytical models that describe the deflection of a composite circular film or plate clamped along its circumference. The plate constant D for a composite plate formed from two materials having moduli E1 and E2, and thickness δ1 and δ2, is given by:
D=KD 1. IV
In the expression for D,
If subscripts “1” and “2” in equations IV-VII refer to the sample 332 and substrate 324, respectively, and if f=F2/F1 represents the ratio of forces measured at the same deflection y for the coated and non-coated substrates, then for small deflections described by equations I and II, equation V becomes:
Expanding equation VIII and collecting like-terms yields:
Since τ, ƒ and E1 are known, equation IX can be solved for ε, and E2 can be calculated from equation VI.
Other embodiments of the flexure measurements include: (i) omitting the coating if the mechanical properties of the flexible substrate are of interest, as would be the case for freely standing metal films; (ii) replacing the circular substrate 324 with a rectangular beam or other structure of known geometry; and (iii) relaxing the constraint that each of the test fixtures 322 has a hemispherical end 336 that contacts the sample array 320 over a surface area that is substantially less than the unclamped area of the flexible substrate 324.
Young's Modulus—Uniaxial Extension and Biaxial Compression
When measuring biaxial compression, the material samples 428 of
Young's Modulus and Hardness—Identation
Since the embodiment shown in
In a closely related second embodiment, each of the test fixtures 542 includes a through-hole (not shown), centered on the bottom 556 of each of the wells 544. The through-hole has a diameter much less than the diameter of the wells 544. Instead of the cylindrical rod 548 shown in
Screening based on melt flow indexing includes displacing the sample array 580 and sample holder 592 toward the pistons 598 at a constant rate using the second translation actuator 112, which forces the liquid samples 588 through the cylindrical tubes 594 into the second reservoir 586. The screening method also includes measuring and recording the forces exerted on the test fixtures 582 (pistons 598) at the sensors 106 while the liquid samples 588 flow through the cylindrical tubes 594. If one neglects friction between the pistons 598 and the walls of the first reservoirs 584, the viscosity, η, at a given shear rate can be determined from the Hagen-Poiseulle expression for laminar flow in a cylindrical tube:
where Q is the volumetric flow rate, d and l are the inner diameter and length of the cylindrical tube 594, and ΔP is the pressure drop across l. In equation X, Q is the product of the displacement rate and the cross sectional area of the first reservoir 584; ΔP is approximately the measured force divided by the cross sectional area of the first reservoir 584.
The sample array 540 and test fixtures 542 shown in
Rheological measurements using the PDMA 100 of
FIG. 19 and
Failure of materials may be identified from a discontinuity in measured force-displacement curves. The stress and strain at failure may be calculated from this curve for specimens of known geometry; the toughness of the material, which is a measure of the energy involved in producing failure, may be estimated from the area under the stress-strain curve. If the sample is supported on a flexible substrate, though, these failure characteristics will reflect the properties of the sample-substrate composite.
One way to avoid such difficulties with flexural and tensile measurements involves using a material sample array 320 similar to the array shown in FIG. 8. However, when failure testing, the portions of the flexible substrate 324 within the circular perforations 334 are cut in half prior to deposition of the material samples 332. The samples 332 are deposited on the substrate 324 as described above, except care is taken to ensure that the material samples 332 extend across the cut edges of the substrate 324 without wetting the surface of the cut. Each of the resulting composites is deformed as described earlier for flexural or tensile measurements of Young's modulus: the sample array 320 is displaced away from the test fixtures 322 until failure occurs, as indicated by a discontinuity in the force-displacement curve. Although the resulting force-displacement curve may be used to determine Young's modulus, the deformation of uncut substrates is generally different than the deformation of cut substrates.
In an alternative approach, the material samples 332 are deposited on a thin, brittle substrate 324, such as a thin ceramic layer or rice paper, that will fail at small strains. Next, the PDMA 100 subjects the array 320 of composite films or membranes to flexural or tensile deformation, and the point at which the substrate 324 fails is identified by a discontinuity in the force-displacement curve. At the failure point, the mechanical load is completely transferred to the sample, and the test is continued until the sample fails.
A third approach uses a sample holder 680 and sample array 682 shown in FIG. 21. The sample holder 680 comprises a frame 684 and U-shaped cups 686, and the sample array 682 includes material samples 688 deposited at intersections 690 of filamentous or rod-shaped substrates 692. Suitable substrate 692 materials include metals, ceramics, and fibers. The substrate 692 comprises lower 694 and upper 696 filaments, which are attached to the frame 684 and the U-shaped cups 686, respectively. The U-shaped cups 686 are slidably mounted in the frame 684 so that the lower 694 and upper 696 filaments intersect at right angles and at the center of the openings 698 of the U-shaped cups 686. When the bottoms 700 of the cups 686 are in contact with the probes 104, translating the sample holder 680 toward the probes 104 exerts a force on the cups 686, causing them to translate in a direction perpendicular to a plane containing the substrate 692. In the absence of material samples 688 at the substrate intersections 690, this motion causes the lower 694 and upper 696 filaments to separate.
To perform a failure test, the cups 686 are inserted in the frame 684 and the substrate 692 materials are laid up in the sample holder 680—first across the frame 684 and then across the cups 686. The lower 694 and upper 696 filaments are secured through mechanical clamping or gluing. If necessary, the filamentous substrates 692 are cut to permit independent motion of substrates 692 associated with different cups 686. One advantage of this latter design is that large numbers of filament intersections 690 (e.g. 96) may be assembled with limited numbers of substrate filaments 692 (e.g. 20). The material samples 688 are deposited at the substrate intersections 690 by liquid deposition and are annealed as necessary. The sample holder 680 is then attached to the second translation actuator 112.
Measurements may be performed in at least two ways. First, the sample array 682 and the probes 104 are translated relative to one another at a known velocity, beginning from a position in which none of the probes 104 are in contact with the cups 686 and ending with all of the cups 686 being displaced away from the frame 684 by a known amount. The latter position is generally selected to cause mechanical failure (separation) of the lower 694 and upper 696 filaments at all of the substrate intersections 690. The PDMA records the force exerted on each cup 686 at the sensors 106 either as a function of position, or as a function of time at a given position. In addition, the PDMA determines the maximum force at failure, the position where failure occurred, and the area under the force-displacement curve. If the sample dimensions are known, the stress and strain experienced by the material samples 688 may be calculated. Thus, PDMA may be used to measure stress-strain characteristics at large strains. Subsequent determination of the failure mechanism is generally done by visual inspection.
Second, the sample array 682 (sample holder 680) and the probes 106 are stepped through a series of relative displacements using the first (coarse) translation actuator 110. At each step, the second translation actuator 112 translates the sample array 682 in an oscillatory manner at a known amplitude and frequency and the stiffness of each material sample 688 is determined in the manner disclosed above for measuring modulus from flexure measurements at small strain. If the dimensions of the samples 688 are known, the stress and strain experienced by the material may be determined from the stiffness.
Adhesion—Probe Tack and Loop Tack
The PDMA can also be used to measure adhesion. The sample array generally comprises a substrate of known surface energy, and material samples that are deposited on predefined regions of the substrate's surface. Suitable substrates include metals (e.g. aluminum), polymeric films (e.g. polyimide or poly(ethylene terephthalate)), and semiconductors (e.g. polished silicon wafers). Suitable probe test fixtures have surfaces of known dimensions and surface energy and include an axially oriented stainless steel cylinder, a stainless steel hemisphere of known radius, and a loop formed from a strip of polymer film of known loop radius and width. The method generally comprises contacting each test fixture with a corresponding material sample for a fixed length of time; separating the test fixtures from the samples at a fixed velocity; and recording the forces required to separate the test fixtures from the samples.
To perform a tack measurement, either the bottom surfaces 748 of the weights 736 or the working surfaces 740 of the test fixtures 732 are coated with the material samples 734 of known thicknesses (one sample 734 per test fixture 732). The PDMA then translates the sample holder 730 toward the probes 104, bringing the weights 736 and test fixtures 732 into contact. The PDMA then moves the sample holder 730 beyond the point of initial contact so that the weights 736 are supported by the test fixtures 732, which results in the application of a known force to the materials samples 734. After a set time has elapsed, the PDMA withdraws the sample holder 730 at a predetermined rate. During withdrawal, the bottoms of the wells 738 make contact with the weights 736, pulling each of the weights 736 from its corresponding test fixture 732. This force opposes a pre-load force applied to each of the sensors 106 by the flexure strips 150 (see discussion of FIG. 4). For a particular sensor 106, test fixture 732, and material sample 734, the resulting drop in the pre-load force relative to its steady state value is a measure of the adhesive force of the sample 734. Eventually the bond fails, and the sensor 106 reading returns to its steady state value. The area above the force sensor-displacement curve (measured with respect to the force applied by the weight) is a measure of the adhesion energy of the sample. The maximum elongation of the material sample 734 at failure can be estimated from the knowledge of the film thickness and the sample holder 730 position at failure.
To perform a tack measurement, either the top surfaces 796 of the test fixtures 772 or the flat surface 794 of the sample holder 770 are coated with material samples 774 (one material sample 774 per test fixture 772). The PDMA then brings the flat surface 794 and the test fixtures 772 into contact so that the poppet 782 of each of the test fixtures 772 is compressed against the flat surface 794 of the sample holder 770. Because the spring 792 is more compliant than the sample holder 770 and other portions of the test fixtures 772, all of the poppets 782 experience nearly the same compressive force against the sample holder 770 despite any variations in heights of the test fixtures 772. After a set time has elapsed, the sample holder 770 is withdrawn at a predetermined rate. Although the poppets 782 initially remain attached to the flat surface 794 of the sample holder 770, the base 786 portion of the poppet 782 is retained in the cavity 780, resulting in a force that opposes the pre-load force applied to each of the sensors 106. This drop in the value of the pre-load force is measured by each of the sensors 106, and is analyzed in an identical manner to that given for the first embodiment shown in FIG. 22.
The PMDA using a sample holder 730 and test fixtures 732 shown in
Example of Parallel Solid Modulus Measurements
The PDMA described herein was used to determine the solid modulus at small strains of a thin film of a commercial poly(styrene-block-butadiene-block-styrene) copolymer supplied by Aldrich. A sheet of polyimide (DuPont KAPTON HN™) 0.002″ thick was mechanically clamped between the top and bottom sample plates and measured at an oscillation amplitude of 2.5 μm and a frequency of 10 Hz. The data were measured on two channels simultaneously and show a linear stiffness of 145 N/m; from the thickness of the polyimide and the dimensions of the clearance holes in the sample plates (0.250″), this corresponds to a solid modulus of 2300 MPa, in good agreement with previously published values for this material.
A film of the block copolymer was prepared by casting from a 5 wt % solution in toluene onto a water surface at room temperature. Following the slow evaporation of the solvent, the film was dried for 2 hours in air and 12 hours in vacuum at room temperature before annealing for 12 hours under vacuum at 100° C. and 2 hours at 150° C. in order to remove all residual solvent and relax any mechanical stresses induced by the film casting procedure. A strip of material measuring 0.28×5.8×15.85 mm was cut from this film. The modulus of this strip was measured in a conventional dynamic mechanical thermal analyzer (Rheometrics DMTA-IV) to be 10±2 MPa over a frequency range from 1 to 1000 Hz. See FIG. 25. At the same time, a second strip of material 0.28 mm thick was glued to the previously measured piece of polyimide with a drop of toluene, permitted to dry for 2 hours in vacuum, and mechanically clamped between the top and bottom plates of the sample fixture. The stiffness of this composite material was measured on the same two channels simultaneously. From the linear stiffness of the composite (1340 N/m), the thicknesses of the polyimide and copolymer layers, and the previously measured modulus for polyimide, the modulus of the copolymer was measured to be 13.7 MPa, in good agreement with the value recorded by the conventional measurement.
It is to be understood that the above description is intended to be illustrative and not restrictive. Many embodiments will be apparent to those of skill in the art upon reading the above description. The scope of the invention should therefore be determined not with reference to the above description, but should instead be determined with reference to the appended claims, along with the full scope of equivalents to which such claims are entitled. The disclosures of all articles and references, including patent applications and publications, are incorporated herein by reference for all purposes.
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|US20120156791 *||Jun 25, 2010||Jun 21, 2012||Richard Superfine||Methods and systems for using actuated surface-attached posts for assessing biofluid rheology|
|U.S. Classification||436/2, 73/847, 73/841, 436/55, 73/789, 73/760, 73/826, 73/788|
|International Classification||G01N29/02, G01N3/32, G01N19/00, B01L3/00, G01N29/22, G01N37/00, G01N3/20, G01N11/00, G01N3/02, G01N5/00, G01N3/08, G01N1/28|
|Cooperative Classification||Y10T436/12, G01N19/00, G01N29/02, G01N2291/106, G01N2291/02466, G01N29/222, B01J2219/00718, G01N2203/0286, B01L3/5085, G01N2291/0255, B01J2219/00707, G01N2291/02818, G01N5/00, G01N11/00|
|European Classification||B01L3/5085, G01N29/22F, G01N29/02, G01N19/00|
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